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Finding the Fourth Proportional to 18,035.88, 27,054 and 6,349.20

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Solution

The fourth proportional to 18,035.88, 27,054 and 6,349.20 is: 9,523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,035.88 : 27,054 = 6,349.20 : x
  2. Step 2: Convert to fraction form
    18,035.88/27,054 = 6,349.20/x
  3. Step 3: Cross multiply
    18,035.88x = 27,054 × 6,349.20
  4. Step 4: Simplify right side
    18,035.88x = 171,771,256.80
  5. Step 5: Solve for x
    x = 171,771,256.80/18,035.88
  6. Step 6: Final answer
    x = 9,523.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.